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Finding the Fourth Proportional to 20,792.18, 31,194.93 and 7,456.19

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Solution

The fourth proportional to 20,792.18, 31,194.93 and 7,456.19 is: 11,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.18 : 31,194.93 = 7,456.19 : x
  2. Step 2: Convert to fraction form
    20,792.18/31,194.93 = 7,456.19/x
  3. Step 3: Cross multiply
    20,792.18x = 31,194.93 × 7,456.19
  4. Step 4: Simplify right side
    20,792.18x = 232,595,325.12
  5. Step 5: Solve for x
    x = 232,595,325.12/20,792.18
  6. Step 6: Final answer
    x = 11,186.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.